2597345280 has 144 divisors (see below), whose sum is σ = 9002251440. Its totient is φ = 692600832.

The previous prime is 2597345269. The next prime is 2597345339. The reversal of 2597345280 is 825437952.

2597345280 is a `hidden beast` number, since 2 + 5 + 97 + 34 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78069 + ... + 106251.

It is an arithmetic number, because the mean of its divisors is an integer number (62515635).

Almost surely, 2^2597345280 is an apocalyptic number.

2597345280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2597345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501125720).

2597345280 is an abundant number, since it is smaller than the sum of its proper divisors (6404906160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2597345280 is a wasteful number, since it uses less digits than its factorization.

2597345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28216 (or 28193 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2597345280 is about 50964.1568163351. The cubic root of 2597345280 is about 1374.6007047735.

It can be divided in two parts, 25973 and 45280, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 2597345280 in words is "two billion, five hundred ninety-seven million, three hundred forty-five thousand, two hundred eighty".